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Exponents - Power Law - Exponent Base with Variable Power to Prime Base with Unknown Power (Level 1)

This math topic focuses on solving for unknown exponents by applying the power law of exponents. Specifically, it practices converting expressions with an exponent base raised to a variable power into an equivalent form with a prime base raised to an unknown power. Each question revolves around simplifying the given expression to identify the missing exponent value in reduced form, reinforcing understanding of exponent manipulation and reduction techniques.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Power Law - Exponent Base with Variable Power to Prime Base with Unknown Power

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Solve for the missing exponent (?) in reduced form

(22)n=2?(2^{2})^{n} = 2^{?}